Vector Geometry Toolkit

Vectors Calculator

Calculate vector components, magnitude, unit direction, products, projections, lines, planes, and volumes with clean step-by-step explanations.

Choose operation

Vector calculator modes

11 tools
Use x, y or x, y, z.
Terminal point for PQ.
Fractions and pi are supported.
Used by binary operations.
Used for triple product.
Positive or negative scale factor.
Choose addition or subtraction.
Examples

Try quick presets

ModeInputsPurpose
Components{"p":"1, 2, 0","q":"7, 5, 0"}Components from points
Magnitude & Unit{"a":"3, 4, 0"}Magnitude and unit vector
Add / Subtract{"a":"2, -1, 3","b":"4, 5, -2","combine_action":"add"}Add vectors
Scalar Multiply{"a":"3, -2, 4","k":"-2"}Scale vector
Dot + Angle{"a":"1, 2, 3","b":"4, -5, 6"}Dot product and angle
Cross Product{"a":"2, 3, 4","b":"5, 6, 7"}Cross product
Projection{"a":"6, 2, 3","b":"3, 1, 0"}Projection
Direction Cosines{"a":"2, 3, 6"}Direction cosines
Triple Product{"a":"1, 2, 3","b":"2, 0, 1","c":"1, -1, 4"}Triple product
Vector Line{"p":"1, 2, 3","a":"4, -1, 2"}Vector line
Plane from Vectors{"p":"1, 2, 3","a":"2, 1, 0","b":"-1, 2, 3"}Plane equation

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.